7606360080 has 600 divisors, whose sum is σ = 29633650200. Its totient is φ = 1806520320.

The previous prime is 7606360037. The next prime is 7606360093. The reversal of 7606360080 is 800636067.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 7114585104 = 22176^2 + 84348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69783066 + ... + 69783174.

It is an arithmetic number, because the mean of its divisors is an integer number (49389417).

Almost surely, 2^7606360080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7606360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816825100).

7606360080 is an abundant number, since it is smaller than the sum of its proper divisors (22027290120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7606360080 is a wasteful number, since it uses less digits than its factorization.

7606360080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7606360080 is about 87214.4488029363. The cubic root of 7606360080 is about 1966.6434360306.

The spelling of 7606360080 in words is "seven billion, six hundred six million, three hundred sixty thousand, eighty".